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fvmon [2017/09/12 21:13]
Kirill Nikitin
fvmon [2019/05/14 13:09]
Kirill Nikitin
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   * [[http://​www.inm.ras.ru/​persons/​vuv.htm|Yuri Vassilevski]] (deputy director of [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], professor at [[http://​www.msu.ru/​|MSU]])   * [[http://​www.inm.ras.ru/​persons/​vuv.htm|Yuri Vassilevski]] (deputy director of [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], professor at [[http://​www.msu.ru/​|MSU]])
   * Ivan Kapyrin (Ph.D., senior researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])   * Ivan Kapyrin (Ph.D., senior researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
-  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​nikitin|Kirill Nikitin]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]]) +  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​nikitin|Kirill Nikitin]] (Ph.D., ​senior ​researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]]) 
-  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​danilov|Alexander Danilov]] (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])+  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​danilov|Alexander Danilov]] (Ph.D., ​senior ​researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
   * Kirill Terekhov (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], postdoc in [[http://​www.stanford.edu/​|Stanford University]])   * Kirill Terekhov (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]], postdoc in [[http://​www.stanford.edu/​|Stanford University]])
-  * Alexey Chernyshenko (Ph.D., researcher at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])+  * [[http://​dodo.inm.ras.ru/​research/​ru/​people/​chernyshenko|Alexey Chernyshenko]] (Ph.D., researcher ​at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]]) 
 +  * Ruslan Yanbarisov (Ph.D. student ​at [[http://​www.inm.ras.ru/​inm_en_ver/​index.htm|INM RAS]])
 ===== Publications ===== ===== Publications =====
  
-[1K.Lipnikov, D.Svyatskiy,​ M.Shashkov, Y.Vassilevski. "Monotone ​finite volume schemes ​for diffusion equations on unstructured triangular and shape-regular polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.227, (2007), pp.492-512. {{:lip-svy-shash-vas-07.pdf|}}+[***new***] Monotone ​embedded discrete fractures method ​for flows in porous media %%//​%% ​submitted2019.\\ 
 +{{:medfv-scheme.pdf|Method description}} ​{{:medfv-tests.pdf|Experiments}}
  
-[2Y.VassilevskiI.Kapyrin"Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes." ​%%//​%% ​CompMathand Math. Phys. Vol.48, No.8, (2008), 1349-1366. {{:kap-vas-08.pdf.pdf|}}+[*V.KramarenkoK.NikitinY.Vassilevski. A finite volume scheme with improved well 
 +modeling in subsurface flow simulation. %%//​%% ​Computational Geosciences,​ 2017DOI: 10.1007/​s10596-017-9685-5. 
 + {{:cg-knv-v3.pdf|}}
  
-[3] K.LipnikovD.Svyatskiy, Y.Vassilevski. ​"​Interpolation-free monotone ​finite volume method for diffusion equations on polygonal meshes." ​%%//%% Journal of Computational Physics, Vol.228, No.3(2009), pp.703-716.{{:lip-svy-vas-09.pdf|}}+[*] K.NikitinK.Novikov, Y.Vassilevski. ​Nonlinear ​finite volume method ​with discrete maximum principle ​for the two-phase flow model %%//​%% ​Lobachevskii ​Journal of Mathematics,​ 2016, Vol.37, No.5570-581 
 + {{::​lobachevskii_2016-v3.pdf|}}
  
-[4A.A.Danilov, Y.V.Vassilevski. ​"monotone ​nonlinear ​finite volume method ​for diffusion equations on conformal polyhedral meshes." ​%%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.24, No.3, (2009), pp.207-227. {{:​danilov-vassilevski-09.pdf|}}+[*V.Kramarenko, K.Nikitin, Y.Vassilevski. A nonlinear ​correction FV scheme ​for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.
  
-[5K.Lipnikov, D.Svyatskiy, Y.Vassilevski"A monotone finite volume method ​for advection-diffusion equations on unstructured polygonal meshes." ​%%//​%% ​Journal of Computational PhysicsVol.229(2010), pp.4017-4032. {{:lip-svy-vas-10.pdf|}}+[*I.V.KapyrinK.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski,​ Nonlinear Monotone FV Schemes ​for Radionuclide Geomigration and Multiphase Flow Models ​%%//​%% ​Finite Volumes for Complex Applications VII-EllipticParabolic and Hyperbolic Problems– Springer International Publishing2014, pp.655-663. {{:fvca7-kapniktervas.pdf|}}
  
-[6K.D.Nikitin, Y.V.Vassilevski. ​"monotone finite folume method ​for advection-diffusion equations ​on unstructured polyhedral meshes in 3D." ​%%//​%% ​Russian Journal of Numerical Analysis ​and Mathematical Modelling, Vol.25, No.4(2010), pp.335-358. {{:nikitin-vassilevski-10.pdf|}}+[*A.Chernyshenko, Y.Vassilevski. A Finite Volume Scheme with the Discrete Maximum Principle ​for Diffusion Equations ​on Polyhedral Meshes ​%%//​%% ​Finite Volumes for Complex Applications VII-Methods ​and Theoretical Aspects– Springer International Publishing2014, pp.197-205. {{:chern-vass-fvca7.pdf|}}
  
-[7] K.Nikitin. "Nonlinear finite volume method for two-phase ​flow in porous media." (in Russian) ​%%//%% +[*] K.Terekhov, Y.Vassilevski. "Two-phase ​water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. %%//​%% ​Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.28, No.3, (2013), pp.267-288. {{:terekhov-vassilevski-13.pdf|}}
-Mathematical Modelling, Vol.22, No.11, (2010), 131-147. {{:nikitin-10.pdf|}}+
  
-[8] K.Nikitin, ​A.Danilov, I.KapyrinYu.Vassilevski. "Application of nonlinear ​monotone finite volume ​schemes to advection-diffusion ​problems." %%//​%% ​Finite Volumes for Complex Applications VI – Problems & Perspectives, Vol.12011761–769.+[*] K.D.Nikitin, ​K.M.TerekhovY.V.Vassilevski. "monotone ​nonlinear ​finite volume ​method for diffusion ​equations and multiphase flows" %%//​%% ​Computational Geosciences, Vol. 18No.3-4(2013), 311-324, DOI: 10.1007/​s10596-013-9387-6. {{:​nik-ter-vas-13.pdf|}}
  
-[9] K.Lipnikov, D.Svyatskiy,​ Y.Vassilevski. "​Minimal stencil finite volume scheme with the discrete maximum principle."​ %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27, No.4, (2012), 369-385. {{:​lip-svy-vas-12.pdf|}}+[*] K.Lipnikov, D.Svyatskiy,​ Y.Vassilevski. "​Minimal stencil finite volume scheme with the discrete maximum principle."​ %%//%% Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.27, No.4, (2012), 369-385. {{:​lip-svy-vas-12.pdf|}}
  
-[10] K.Nikitin, Y.Vassilevski. "A monotone finite volume method for advection diffusion equations and multiphase flows."​ %%//%% Proceedings ECMOR XIII, EAGE, (2012). {{:​nik-vas-ecmor2012.pdf|}}+[*] K.Nikitin, Y.Vassilevski. "A monotone finite volume method for advection diffusion equations and multiphase flows."​ %%//%% Proceedings ECMOR XIII, EAGE, (2012). {{:​nik-vas-ecmor2012.pdf|}}
  
-[11] K.TerekhovY.Vassilevski. "Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. %%//​%% ​Russian Journal of Numerical Analysis and Mathematical Modelling, Vol.28No.3(2013), pp.267-288. {{:​terekhov-vassilevski-13.pdf|}}+[*] K.NikitinA.Danilov, I.Kapyrin, Yu.Vassilevski. "Application of nonlinear monotone finite volume schemes to advection-diffusion problems." ​%%//​%% ​Finite Volumes for Complex Applications VI – Problems & Perspectives, Vol.12011761–769.
  
-[12] K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski. "A monotone ​nonlinear ​finite volume method for diffusion equations ​and multiphase flows" %%//%% Computational ​GeosciencesDOI: 10.1007/​s10596-013-9387-6.{{:nik-ter-vas-13.pdf|}}+[*] K.Lipnikov, ​D.Svyatskiy, Y.Vassilevski. "A monotone finite volume method for advection-diffusion equations ​on unstructured polygonal meshes." %%//​%% ​Journal of Computational ​PhysicsVol.229, (2010), pp.4017-4032. {{:lip-svy-vas-10.pdf|}}
  
-[13I.V.Kapyrin, ​K.D.Nikitin, K.M.Terekhov, Y.V.Vassilevski, Nonlinear Monotone FV Schemes ​for Radionuclide Geomigration and Multiphase Flow Models ​%%//​%% ​Finite Volumes for Complex Applications VII-EllipticParabolic and Hyperbolic Problems– Springer International Publishing2014, pp.655-663. {{:fvca7-kapniktervas.pdf|}}+[*] K.D.Nikitin,​ Y.V.Vassilevski. "A monotone finite volume method ​for advection-diffusion equations on unstructured polyhedral meshes in 3D." ​%%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.25No.4, (2010), pp.335-358. {{:nikitin-vassilevski-10.pdf|}}
  
-[14A.Chernyshenko,​ Y.VassilevskiA Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes ​%%//​%% ​Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects– Springer International Publishing2014pp.197-205. {{:chern-vass-fvca7.pdf|}}+[*K.Nikitin"​Nonlinear finite volume method for two-phase flow in porous media." (in Russian) ​%%//%% 
 +Mathematical Modelling, Vol.22No.11(2010), 131-147. {{:nikitin-10.pdf|}}
  
-[15] K.NikitinK.Novikov, Y.Vassilevski. ​Nonlinear ​finite volume method ​with discrete maximum principle ​for the two-phase flow model %%//​%% ​Lobachevskii ​Journal of Mathematics,​ 2016, Vol.37, No.5570-581 +[*] K.LipnikovD.Svyatskiy, Y.Vassilevski. ​"​Interpolation-free monotone ​finite volume method for diffusion equations on polygonal meshes." ​%%//%% Journal of Computational Physics, Vol.228, No.3(2009), pp.703-716.{{:lip-svy-vas-09.pdf|}}
- {{::​lobachevskii_2016-v3.pdf|}}+
  
-[16V.Kramarenko, K.Nikitin, Y.Vassilevski. A nonlinear ​correction FV scheme ​for near-well regions. %%//​%% ​Finite Volumes for Complex Applications VIII2017.+[*A.A.Danilov, Y.V.Vassilevski. ​"monotone ​nonlinear ​finite volume method ​for diffusion equations on conformal polyhedral meshes." ​%%//​%% ​Russian Journal of Numerical Analysis and Mathematical ModellingVol.24, No.3, (2009), pp.207-227. {{:​danilov-vassilevski-09.pdf|}}
  
-[17V.KramarenkoK.NikitinY.Vassilevski. A finite volume scheme with improved well +[*Y.VassilevskiI.Kapyrin"Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes." ​%%//​%% ​CompMathand Math. Phys. Vol.48, No.8, (2008), 1349-1366. {{:kap-vas-08.pdf.pdf|}} 
-modeling in subsurface flow simulation. %%//​%% ​Computational Geosciences,​ 2017DOI: 10.1007/​s10596-017-9685-5. + 
- {{:cg-knv-v3.pdf|}}+[*] I.V.Kapyrin. "A Family of Monotone Methods for the Numerical Solution of Three-Dimensional Diffusion Problems on Unstructured Tetrahedral Meshes. %%//%% Doklady Mathematics,​ 2007, Vol. 76, No. 2, pp. 734–738. {{https://​link.springer.com/​content/​pdf/​10.1134/​S1064562407050249.pdf}}
  
 +[*] K.Lipnikov, D.Svyatskiy,​ M.Shashkov, Y.Vassilevski. "​Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes."​ %%//%% Journal of Computational Physics, Vol.227, (2007), pp.492-512. {{:​lip-svy-shash-vas-07.pdf|}}
fvmon.txt · Last modified: 2022/04/07 15:19 by Kirill Nikitin